What is factor 125m^3-64n^3 ?

The solution to factor 125m^3-64n^3 is (5m-4n)(25m^2+20mn+16n^2)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

factor 125m^3-64n^3

factor

125 m^{3} - 64 n^{3}

(5 m - 4 n) (25 m^{2} + 20 mn + 16 n^{2})

Solution steps

125 m^{3} - 64 n^{3}

Apply exponent rules

= (5 m)^{3} - (4 n)^{3}

Apply Difference of Cubes Formula:

x^{3} - y^{3} = (x - y) (x^{2} + x y + y^{2})

(5 m)^{3} - (4 n)^{3} = (5 m - 4 n) ((5 m)^{2} + 5 m \cdot 4 n + (4 n)^{2})

= (5 m - 4 n) ((5 m)^{2} + 5 m \cdot 4 n + (4 n)^{2})

Simplify

(5 m)^{2} + 5 m \cdot 4 n + (4 n)^{2} : 25 m^{2} + 20 mn + 16 n^{2}

= (5 m - 4 n) (25 m^{2} + 20 mn + 16 n^{2})

ln (\frac{x - 1}{x})

2 \frac{1}{2} + 1

(x^{2} - x - 3)^{2}

14 \cdot \frac{1}{4}

(- 1) + (- 9)

What is factor 125m^3-64n^3 ?
The solution to factor 125m^3-64n^3 is (5m-4n)(25m^2+20mn+16n^2)